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Finding the Fourth Proportional to 10,483.82, 14,467.97 and 5,768.40

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Solution

The fourth proportional to 10,483.82, 14,467.97 and 5,768.40 is: 7,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.82 : 14,467.97 = 5,768.40 : x
  2. Step 2: Convert to fraction form
    10,483.82/14,467.97 = 5,768.40/x
  3. Step 3: Cross multiply
    10,483.82x = 14,467.97 × 5,768.40
  4. Step 4: Simplify right side
    10,483.82x = 83,457,009.31
  5. Step 5: Solve for x
    x = 83,457,009.31/10,483.82
  6. Step 6: Final answer
    x = 7,960.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.